I think I answered my question. The slope field has vertical segments whenever the derivative is undefined. So I did trial in error with all my answer options and found that whenever x=0 or y=-5, the denominator of dy/dx=0 thus making it undefined, thus giving the slope field vertical segments.

I think I answered my question. The slope field has vertical segments whenever the derivative is undefined. So I did trial in error with all my answer options and found that whenever x=0 or y=-5, the denominator of dy/dx=0 thus making it undefined, thus giving the slope field vertical segments.